Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Biharmonic Submanifolds of Quaternionic Space Forms

  • Kacimi, Bouazza (Department of Mathematics, Faculty of Exact Sciences, Mascara University) ;
  • Cherif, Ahmed Mohammed (Department of Mathematics, Faculty of Exact Sciences, Mascara University)
  • Received : 2018.08.01
  • Accepted : 2019.01.28
  • Published : 2019.12.23
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Abstract

In this paper, we consider biharmonic submanifolds of a quaternionic space form. We give the necessary and sufficient conditions for a submanifold to be biharmonic in a quaternionic space form, we study different particular cases for which we obtain some non-existence results and curvature estimates.

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References

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